I don't think you can do it, which is why I don't have an opinion about its intrinsic value.
But if you look at the price of gold as actually the price of dollars measured in gold, then things look much different.
By that measure, taking monetary inflation into account over the past 100 years, gold is historically cheap.
Gold has "two values" (and one sale price)
It can be a "money substitute"
But it is also a mineral, with an extraction cost, and usage in the industry
Now let's compare to oil
Oil is very liquid (pun intended), it can almost anytime be converted into money. And then, used, converted into products or services.
Gold has no such property.
Yes, seeing "the price of dollar in gold" is certainly eye opening, still, the US has enough gold (and other resources) to keep the price of dollar (compared to gold) high enough.